Circular Drum - DS

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Circular Drum - DS

by rahulvsd » Tue Oct 18, 2011 7:22 am
A lever is attached to a circular drum. The lever is operated by turning it clockwise. Its current position is shown here. What is the angle formed by the starting position and the current position of the lever?

(1) If the lever were turned a additional 15º, it would complete a full circle from the starting position.

(2) If the lever were turned 75º less, it would be perpendicular to the lever at its original starting position.

OA: A. Here when we say additional 15 degrees it would mean additional in 15 clockwise direction. So will 75 degrees less mean 75 degrees shift in anticlockwise direction. Wont B sufficient too, but answer would be 165 degrees. Please help confused.
Image
Last edited by rahulvsd on Tue Oct 18, 2011 8:50 am, edited 1 time in total.
Source: — Data Sufficiency |

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by GMATGuruNY » Tue Oct 18, 2011 8:08 am
rahulvsd wrote:A lever is attached to a circular drum. The lever is operated by turning it clockwise. Its current position is shown here. What is the angle formed by the starting position and the current position of the lever?

(1) If the lever were turned a additional 15º, it would complete a full circle from the starting position.

(2) If the lever were turned 75º less, it would be perpendicular to the lever at its original starting position.

Image
Statement 1: If the lever were turned an additional 15º, it would complete a full circle from the starting position.
The starting position is as follows:
Image
SUFFICIENT.

Statement 2: If the lever were turned 75º less, it would be perpendicular to the lever at its original starting position.
The starting position could be EITHER of the following:
Image
INSUFFICIENT.

The correct answer is A.
Last edited by GMATGuruNY on Tue Oct 18, 2011 9:21 am, edited 2 times in total.
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by rahulvsd » Tue Oct 18, 2011 8:45 am
Hi Mitch,

Sorry I forgot to show upload the picture that was given in the question. Here if we go by the pic, wont the current position be fixed? In that case wont we get 165 degrees when it is turned 75 degrees anticlockwise (i.e. lesser)

Image

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by GMATGuruNY » Tue Oct 18, 2011 9:19 am
rahulvsd wrote:Hi Mitch,

Sorry I forgot to show upload the picture that was given in the question. Here if we go by the pic, wont the current position be fixed? In that case wont we get 165 degrees when it is turned 75 degrees anticlockwise (i.e. lesser)

Image
I've adjusted the figures in my post above. They reflect the drawing that you just added.
The correct answer remains A.
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by rahulvsd » Tue Oct 18, 2011 9:31 am
Thanks a lot Mitch, makes sense to me now. I need to work more on circle problems.